The length of a longest interval in which the function \( 3 \sin x-4 \sin ^{3} x \) is increasin...

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The length of a longest interval in which the function \( 3 \sin x-4 \sin ^{3} x \) is increasing, is [One Correct Option, 2002]
(a) \( \frac{\pi}{3} \)
(b) \( \frac{\pi}{2} \)
(c) \( \frac{3 \pi}{2} \)
(d) \( \pi \)
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